Name: ______Period: _____
Unit 4 Problem Bank
1. Find the length of the diagonals in the rectangular foundations.
Find the area.
2. 4 3. 3 2 2 2 3 3 3 6 2 3 3 3 2
Solve for x
4. 3x+ 4 = 10 x + 18 5. 2(4x 6) 94
5. Find the measures of the missing angles. 6. Solve
7. Find the missing angles given that AD is parallel to CB and CD is parallel to AB
m� DAB 65o
E m� CDA ______
m� CDE ______
F m� DCB ______
m� ABC ______
m� DCF ______
Find the Volume of each 3D Figure
8. 9. 9 cm 10.
1 2 m 2 . 1
m 5 m
11. Solve for y a) 5x- 3 y = - 12 b.) 8y+ 16 x = - 40 c) 12y= 144 x + 24 12.
13. Find the length of the ramp shown.
14. Carpenters use parallel wall studs in the building supports for walls. Describe three ways a carpenter could guarantee that the wall studs AB and DC are parallel.
Solve for the variable.
15. 155 7x 282 16. 6.28r 458
17. Find the radius of a circle with a circumference of 225 cm2. Find the area of the shaded regions . 18. 1 8 19.
1 6 1 6 1 0 6 3 3 4
1 2
Find the volume of the figures below.
20. 21.
4 22. 23. 3
5 8 26. Find the value of x.
Solve each equation for the variable y.
27. 7x 2y 12 28. 6x 3y 21
29. 14x 6y 42 30. x 4y 16 31. Find the slope of each graph.
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32. Graph the equations.
33. Find the value of x. a. b. 34. Find the value of the given variable. a. b. c.
35. Find the missing value. a. b. 37. Find the value of x.
38.
39. Find the total surface area and volume of the rectangular prism.
9 ft
4 ft
40.
41. Solve for y: 6x 3y 9
42. 43.
44.
45. Find the solution to the systems of equations. a. b. c.
46. Find the value of x.
47. Solve the equations for y. What is the slope of each equation? a. -x +2 y = 18 b. -2y + 4 x = 8 c. 9x- 3 y = 24
m = _____ m = _____ m = ______
48. Find the area of each parallelogram. A = bh
49. Find the solution to the systems of equations. Remember to solve for y. a. b. c.
Solution: ______Solution: ______Solution: ______
50.
51. Solve for x. 2x+ 15 = 4 x - 3
Find the missing length.
52. . 53.. 54.